3955582720 has 72 divisors (see below), whose sum is σ = 9530158176. Its totient is φ = 1572999168.

The previous prime is 3955582699. The next prime is 3955582747. The reversal of 3955582720 is 272855593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212509 + ... + 230371.

It is an arithmetic number, because the mean of its divisors is an integer number (132363308).

Almost surely, 2^3955582720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3955582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765079088).

3955582720 is an abundant number, since it is smaller than the sum of its proper divisors (5574575456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3955582720 is a wasteful number, since it uses less digits than its factorization.

3955582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057 (or 18043 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The square root of 3955582720 is about 62893.4235035747. The cubic root of 3955582720 is about 1581.5034986104.

It can be divided in two parts, 395558 and 2720, that added together give a triangular number (398278 = T₈₉₂).

The spelling of 3955582720 in words is "three billion, nine hundred fifty-five million, five hundred eighty-two thousand, seven hundred twenty".